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What is the Least Common Multiple of 63833 and 63842?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 63833 and 63842 is 4075226386.

LCM(63833,63842) = 4075226386

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Least Common Multiple of 63833 and 63842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63833 and 63842, than apply into the LCM equation.

GCF(63833,63842) = 1
LCM(63833,63842) = ( 63833 × 63842) / 1
LCM(63833,63842) = 4075226386 / 1
LCM(63833,63842) = 4075226386

Least Common Multiple (LCM) of 63833 and 63842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63833 and 63842. First we will calculate the prime factors of 63833 and 63842.

Prime Factorization of 63833

Prime factors of 63833 are 7, 11, 829. Prime factorization of 63833 in exponential form is:

63833 = 71 × 111 × 8291

Prime Factorization of 63842

Prime factors of 63842 are 2, 137, 233. Prime factorization of 63842 in exponential form is:

63842 = 21 × 1371 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 63833 and 63842.

LCM(63833,63842) = 71 × 111 × 8291 × 21 × 1371 × 2331
LCM(63833,63842) = 4075226386